Graded components of local cohomology modules

• Puthenpurakal, Tony J. ^[1]
  1. [1] Department of Mathematics, IIT Bombay, Powai, Mumbai, 400 076, India
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 73, Fasc. 1, 2022, págs. 135-171
• Idioma: inglés
• DOI: 10.1007/s13348-020-00311-4
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• Resumen

  • Let A be a regular ring containing a field of characteristic zero and let R = A[X_1,\ldots , X_m]. Consider R as standard graded with \deg A = 0 and \deg X_i = 1 for all i. In this paper we present a comprehensive study of graded components of local cohomology s H^i_I(R) where I is an arbitrary homogeneous ideal in R. Our study seems to be the first in this regard.